Physics - W.E.P. Question with Solution | TestHub

Given, the mass of the object$\left(m\right)=100 \mathrm{g}$

$=100\times {10}^{-3} \mathrm{k}\mathrm{g}$

Velocity of object$\left(v\right)=10\hat{\mathbf{i}}\mathrm{ }\mathrm{m} {\mathrm{s}}^{-1}\mathrm{ }$

Acceleration of object$\left(a\right)=(20\hat{\mathbf{i}}+10\hat{\mathbf{j}})\mathrm{ }\mathrm{m} {\mathrm{s}}^{-2}$

We know that,

$\frac{d\left(KE\right)}{dt}=F.v=ma.v [\because K.E.=\frac{1}{2}m{v}^2]$

$=(100\times {10}^{-3})(20\hat{\mathrm{i}}+10\hat{\mathrm{j}}).(10\hat{\mathbf{i}})$

$=100\times {10}^{-3}\times 200$

$=\frac{100\times 200}{1000}=20 k\mathrm{g} {\mathrm{m}}^{\mathrm{2 }}{\mathrm{s}}^{-3}\mathrm{ }$